2 papers
math.DS2026
Unstable Manifolds for the Kuramoto Model: Convergence to the Ott-Antonsen Manifold
Christian Kuehn, Giacomo Landi
In this paper, we study the finite-dimensional, homogeneous, all-to-all coupled Kuramoto model. We begin by performing a complete spectral analysis of all equilibria of the system.…
math.DS2025
The Mean-Field Ott-Antonsen Manifold is an Unstable Manifold in the Continuum Limit
Christian Kuehn, Giacomo Landi
We study interacting particle systems of Kuramoto-type. Our focus is on the dynamical relation between the partial differential equation (PDE) arising in the continuum limit (CL) a…